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Name: ____________________ Date: ___________________ Multiplying and Dividing Fractions Multiplying Fractions: Example 5x2 = 8 3 Determine each product. 1) 1 x 1 2 3 2) 2 x 2 5 3 Dividing Fractions: When dividing fractions you must remember to multiply the FIRST fraction by the reciprocal of the SECOND. Examples 4 ÷ 2 5 7 2÷3 7 14 = = = = Irrational Numbers An Irrational Number is a number that cannot be written as a simple fraction the decimal goes on forever without repeating. Example: Pi is an irrational number. The value of Pi is 3.1415926535897932384626433832795 (and more...) There is no pattern to the decimals, and you cannot write down a simple fraction that equals Pi. Values like 22/7 = 3.1428571428571... get close but are not right. If a number CAN be written as a simple fraction then it is called a rational number: Example: 9.5 can be written as a simple fraction like this 19 /2 = 9.5 So it is NOT an irrational number (and so is a rational number) Here are some more examples: Number As a Fraction Rational or Irrational? 5 5/1 Rational 1.75 7/4 Rational .001 1/1000 Rational √2 (square root of 2) ? Irrational Example: Is the Square Root of 2 an Irrational Number? My calculator says the square root of 2 is 1.4142135623730950488016887242097, but this is not the full story! It actually goes on and on, with no pattern to the numbers. You CANNOT write down a simple fraction that equals the square root of 2. So the square root of 2 is an irrational number Famous Irrational Number Pi is a famous irrational number. People have calculated Pi to over one million decimal places and still there is no pattern. The first few digits look like this: 3.1415926535897932384626433832795 (and more).